Dilation operators and integral operators on amalgam space (Lp, lq)

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1 Citation (Scopus)

Abstract

This paper establishes the Hardy–Littlewood–Pólya inequalities, the Hardy inequalities and the Hilbert inequalities on amalgam spaces. Moreover, it also gives the mapping properties of the Mellin convolutions, the Hadamard fractional integrals and the Hausdorff operators on amalgam spaces. We establish these properties by some estimates for the operator norms of the dilation operators on amalgam spaces. Copyright © 2019 Università degli Studi di Napoli "Federico II".
Original languageEnglish
JournalRicerche di Matematica
Early online dateJan 2019
DOIs
Publication statusE-pub ahead of print - Jan 2019

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Amalgam
Mercury amalgams
Lp Spaces
Dilation
Integral Operator
Operator
Hilbert's Inequality
Hardy Inequality
Fractional Integral
Operator Norm
Convolution
Estimate

Bibliographical note

Ho, K.-P. (2019). Dilation operators and integral operators on amalgam space (Lp, lq). Ricerche di Matematica. Advance online publication. doi: 10.1007/s11587-019-00431-5

Keywords

  • Amalgam spaces
  • Integral operator
  • Hardy inequality
  • Hilbert inequality
  • Hadamard fractional integral
  • Mellin convolution
  • Hausdorff operator